Coliform bacteria are distributed in a river at an average concentration of 1 per 20 cc of water. If we draw from the river a test tube containing 10cc of water, what is the probability that the sample contains exactly 2 coliform bacteria

Answers

Answer 1

Answer:

0.5

Step-by-step explanation:

Given that: An average concentration of 1 coliform bacteria per 20 cc of the river water.

This implies that in 20 cc of the water, it is certain that 1 coliform bacteria would be found. So that:

pr(1 bacteria in 20 cc of water) = 1

i.e the probability of getting 1 bacteria in 20 cc of water is 1.

The probability of the 10 cc sample of water containing 2 coliform bacteria can be determined as:

pr(2 bacteria in 10 cc of water) = [tex]\frac{1}{2}[/tex]

                                                   = 0.5


Related Questions

The factorization of 12x + 15 is

Answers

The factorization would be 4(3x+5)

Juan has $10 to spend. He needs $13 to purchase the supplies. Explain how to find the amount of money Juan is short

Answers

Answer:

he can do things that well give him money

Step-by-step explanation:

Answer:

below

Step-by-step explanation:

First, you must find the total he has: $10

Then, you must find how much he need: $13

Then, you take the smaller number to take away from the greater number: 13-10

Finally, you subtract those two numbers to find the amount the Juan needs: $3

Sydney drove 117 miles in 3 hours. If she continued at the same rate, how far would she travel in 19 hours?i

Answers

Answer:

741 miles  in 19 hours

Step-by-step explanation:

Fine the area of this figure round your answer to the nearest hundredth use 3.14 to approximate

Answers

Answer:    49.12 square feet

This value is approximate because we used the approximation pi = 3.14

=================================================

Explanation:

For problems like this, a common approach is to break the figure into smaller pieces. Find the area of each small piece, then add up those individual areas to get the full area we're after.

------------

A = area of triangle

A = 0.5*base*height

A = 0.5*6*8

A = 24 square feet

-----------

B = area of the semicircle with radius r

B = 0.5*(area of full circle with radius r)

B = 0.5*(pi*r^2)

B = 0.5*pi*r^2

B = 0.5*3.14*4^2 .... the diameter is 8, radius is half that

B = 25.12  square feet

--------------

C = area of the full figure

C = A+B

C = 24+25.12

C = 49.12 square feet

Twice a number plus another number is 15. The sum of the numbers
alone is 11. Find the numbers.

Answers

Answer:

2x + 3 = 15

x = 6

2(6) + 3 = 15

Step-by-step explanation:

This is the answer because:

1) 2 x 6 = 12, 12 + 3 = 15

2) 2 + 6 + 3 = 11

Therefore, the answer is 2(6) + 3 = 15

Hope this helps!

Answer:

x=6

Step-by-step explanation:

2x+3=15

15-3=12

12/2=6

x=6

Question 12
Which expression is equivalent to –6 (
-6 (- 1)?

Answers

hdjdjejje ikd dhjdjdjd
6

Negative x negative = positive

6 x 1 = 6

Hope this helped!

Evaluate the expression -7(-3)(-1)​

Answers

Answer:

− 21

Step-by-step explanation:

-7(-3)(-1)

21(-1)

-21

Determine the unit rate: 2 dozen tennis balls for $36

Answers

Answer:

It is $1.50 or $18 per dozen tennis balls

Step-by-step explanation:

1. Divide the total price by the number of tennis balls.

36/24= 1.50

So it cost $1.50 per tennis ball.

2. Then solve by dividing the total price by the number of tennis balls:

36/2= $18

"So it cost $18 per dozen tennis balls"

It is $1.50 or $18 per dozen tennis balls

in 3/5 ÷ 3= 1/5 the quotient is greater than or less than the dividend​

Answers

Answer:

quotient less than the dividend​

Step-by-step explanation:

In this equation:

Dividend = 3/5

Divisor = 3 and

Quotient = 1/5

The question asks you to compare 3/5 to 1/5 and 3/5 is larger therefore the quotient less than the dividend​.

how to subtract 1/4 minus 1/8

Answers

0.125 in decimals hope this helps

Answer:

You would multiply 1/4 by 2/2 in order to get a common demoninator. The answer is 1/8.

Step-by-step explanation:

Find the z-score such that: a. The area under the standard normal curve to its left is 0.5 b. The area under the standard normal curve to its left is 0.9826 c. The area under the standard normal curve to its right is 0.1423 z

Answers

Answer:

The answer is below

Step-by-step explanation:

The z score is used to determine by how many standard deviations the mean is above or below the raw score. If the z score is positive then the raw score is above the mean while if the z score is negative then the raw score is below the mean. The z score is given by:

[tex]z=\frac{x-\mu}{\sigma}\\ \\\mu=mean, \sigma=standard\ deviation[/tex]

a)

From the normal distribution, 0.5 corresponds to a z score of 0.

z = 0.

b) From the normal distribution, an area of 0.9826 to the left corresponds to a z score of 2.11.

c) An area to the right of 0.1423 = an area of 0.8577 ( 1- 0.1423) to the left.  From the normal distribution, an area of 0.8577 to the left corresponds to a z score of 1.07

Triangle GHJ is shown below.
12 in.
H
16 in.
What is the perimeter, in inches, of Triangle GHJ

Answers

Answer:

the perimeter of triangle abc is 56.4 and the perimeter of triangle GHJ is 14.1 cm the perimeter of triangle DEF

Step-by-step explanation:

Domain is the set of all input values, while range is the set of all:
a independent variables
c. relations
b. output values
d. functions
Please select the best answer from the choices provided

Answers

Answer:

The answer that would best complete the given statement above would be option B.

Khloe drove 204 miles in 4Hours

Answers

Answer:

She was driving 51 miles per hour.

Step-by-step explanation:

51 x 4 = 204

204 / 4 = 51

One beehive produces 64 pounds of honey per year. How many
beehives does it take to produce 5,504 pounds of honey?

Answers

Answer:

86 beehives, Hope I helped!

Step-by-step explanation:

I'm to lazy :P

Jim earned $95 after working days. At this rate how many days will it take him to earn $285?​

Answers

Answer:

It will take him 3 days if every day he earns $95.

95 * 3 = 285

285/95 = 3

Step-by-step explanation:

Hope this helped you! <3

Corrected, the answer is 15.

Can someone please help me? I've been trying to figure this out for days. I don't understand how to construct a confidence interval.

I know that the red box has a mean value of 15.11 and the blue box's mean is 16.83. The difference of sample means is 1.74. The red standard deviation is 3.868 and the blue one is 2.933. the standard deviation of the sample mean differences is 0.69. How do I use all this to construct the interval with no difference between the population means.

Answers

Step-by-step explanation:

Confidence interval is:

CI = x ± CV · SE

where x is the mean, CV is the critical value, and SE is the standard error.

There is no difference between the population means, so x = 0.

The confidence level is 95%, so CV = 1.96.

SE = 0.69.

So the confidence interval is:

CI = 0 ± (1.96) (0.69)

CI = (-1.35, 1.35)

1.74 is outside of the confidence interval, so it is statistically significant.

Answer:

Step-by-step explanation:

same i need help

solve the following

(a) 5+(-5)=?
(b) 5-(-5)=?
(c) 5-(5)=?
(d) 5-/-5/=?​

Answers

Answer:

A) 0

B) 10

C) 0

D) I dont understand that one

Step-by-step explanation:

~~—☆☆☆——☆☆☆——☆☆☆——☆☆☆——☆☆☆—~~

Answer:

Hello! I hope I’m correct!! :)

Step-by-step explanation:

Solving a:

Remove the parentheses And now you subtract

→ 5 - 5

→ = 0

___________________________

Solving b:

Remove the parentheses Simplfiy (or add/subtract the number)

→ 5 + 5

→ = 10

____________________________

Solving c:

Remove the parentheses Now you subtract

→ 5 - 5

→ = 0

_____________________________

For d, there is no answer since you can’t really solve it

Answers: 0,10,0 and the last one you can’t solve.

Hope this helps! If you have any questions about this, feel free to ask! Have a wonderful day! ^-^

#Thank you so much for using brainly!

Best regard! :D

~By, BrainlyAnime~

~~—☆☆☆——☆☆☆——☆☆☆——☆☆☆——☆☆☆—~~

Divide 3/5÷4 please help ASAP please

Answers

Answer: The answer is 2.4

Step-by-step explanation:Hope this helps

dont understand this ​

Answers

Answer:

a

Step-by-step explanation:

I think it's a I am not sure

1.If x and y vary directly and y = 16 when x = 12, then which of the following equations correctly represents the relationship between x and y?

Answers

Answer:

[tex]y = \frac{4}{3}x[/tex]

Step-by-step explanation:

Given:

Variation: Direct Variation.

This can be represented as:

[tex]y\ \alpha\ x[/tex]

[tex]y = 16; x = 12[/tex]

Required

Write out the equation

First, the variation has to be converted to an equation

[tex]y\ \alpha\ x[/tex]

[tex]y = kx[/tex]

Where k represents constant of variation.

Substitute 16 for y and 12 for x

[tex]16 = k * 12[/tex]

Solve for k

[tex]k = \frac{16}{12}[/tex]

[tex]k = \frac{4}{3}[/tex]

To get the equation, we simply substitute 4/3 for k in [tex]y = kx[/tex]

[tex]y = \frac{4}{3}x[/tex]

Maria is 3 years older than her brother, Luis. Luis is 2 years older than their youngest sister, Karla. The sum of their ages is 55. How old are the three siblings?

Answers

Answer:

Karla=16 Luis=18 Maria=21


The area of a parallelogram can be found by the equation area = (b)(h)
Find the height of a parallelogram that has an area of 10 1/2 in² and a base of
¾ in.
The height of the parallelogram is ( ) inches.

21/2=(3/4) (h)
(4/3) (21/2) = (4/3) (3/4) (h)​

Answers

Answer: Height = 14

Step-by-step explanation: 10.5 / 0.75 = 14

Answer:

The height is 14 inches

Evaluate the expression for x = 0.1
1.2x

Answers

Answer:

0.12

Step-by-step explanation:

This is the answer because:

1) First, rewrite the expression including the x value

1.2(0.1)

2) Next, we know 1.2 x 1 is 1.2, but since we have one decimal point in 0.1, we have to move the decimal point in 1.2 once to the left. This will make the answer 0.12

Hope this helps! :D

A grid model with 100 squares. 73 squares are shaded.


What percent of the model is shaded? |_____|
What is the equivalent ratio? |____|
What is the equivalent decimal? |____|
What is the equivalent fraction? |____|

Answers

Answer:

Step-by-step explanation:

73% is shaded

Equivalent ratio 73/100 times 2

146/200 is the ratio

0.73 is the decimal

73/100 is the fraction

Answer:

73%

Step-by-step explanation:

Determine the unit rate: 24 tickets for $480

Answers

Answer: 20 dollars per ticket

Step-by-step explanation:

Divide the number 480 by 24.

480 ÷ 24 = 20

The answer is 20. Hope this helps!

Step-by-step explanation:

If 24 tickets cost $480 the cost of 1 is:

Let the unit be u

480 ÷ 24= u

[tex] \frac{480}{24} = u[/tex]

[tex]20 = u[/tex]

[tex]u = 20[/tex]

Hope this helps....

Hence the unit = 20

A little confused by this question. Does anyone know how to do this?
Thank you !

Answers

Answer:

[tex]if \: {i}^{k} = 1. \: \iff\:then \: k = 0 .\\ if \: {i}^{k} = i. \: \iff\: then \: k = 1. \\ if \: {i}^{k} = - 1. \: \iff\: then \: k = 0 \: and \:i = - 1 . \\ if \: {i}^{k} = - i. \: \iff \:then \: k = 1 \: and \: i = - i.[/tex]

Step-by-step explanation:

♨Rage♨

Marisa is making a scale drawing of her house. Her
house is 49 feet wide. On her drawing, the house is 7
inches wide. What is the scale of Marisa's drawing?
The scale is

Answers

Answer:

7 ft per in

Step-by-step explanation:

If she has a scale where 49 feet is represented by 7 inches, then the ratio is:

49 feet to 7 inches  which can be written as:49 ft /7 in = 7 ft / in

So the scale is 7 feet per inch

You must be in degree mode to find sin pie/3
A.) True
B.) False

Answers

Answer:

(i) False. Let A = 30° and B = 60°, then sin (A + B) = sin (30° + 60°) = sin 90° = 1 and, sin A + sin B = sin 30° + sin 60° = 1/2 + √3/2 = 1+√3/2(ii) True. sin 0° = 0 sin 30° = 1/2 sin 45° = 1/√2 sin 60° = √3/2 sin  90° = 1 Thus the value of sin θ increases as θ increases.(iii) False. cos 0° = 1 cos 30° = √3/2 cos 45° = 1/√2 cos 60° = 1/2 cos 90° = 0 Thus the value of cos θ decreases as θ increases.(iv) True. cot A = cos A/sin A cot 0° = cos 0°/sin 0° = 1/0 = undefined.

Step-by-step explanation:

False. You can use both degrees or radians to find sin(pi/3). You only HAVE to be in radians when working with circular objects(like the unit circle)

Vx+2 = 5
Find the solutions

Answers

Answer:

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

x

=

3

V

Answer:

Vx = 3

Step-by-step explanation:

The answer below is because you move all terms not containing Vx to the right side of the equation.

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